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Both neutrino and antineutrino charged-current quasi-elastic scattering on acarbon target are studied to investigate the nuclear effect on thedetermination of the axial form factor F_A(Q^2). A method for extraction of  F_A(Q^2) from the flux-integrated $d\sigma/dQ^2$ cross section of(anti)neutrino scattering on nuclei is presented. Data from the MiniBooNEexperiment are analyzed in the relativistic distorted-wave impulseapproximation, Fermi gas model, and in the Fermi gas model with enhancements inthe transverse cross section. We found that the values of the axial formfactor, extracted in the impulse approximation and predicted by the dipoleapproximation with the axial mass M_A~1.37 GeV are in good agreement. On theother hand, the Q^2-dependence of F_A extracted in the approach with thetransverse enhancement is found to differ significantly from the dipoleapproximation.

Determination of the axial nucleon form factor from the MiniBooNE data